A key ingredient to construct a monodromy invariant fundamental system from conformal blocks is the braiding relation interchanging places of the variable \(x\)  of the degenerate field with other singular points. In differential cases, the braiding relation is derived from \(W_N\)  conformal field theory. In \(q\) -difference cases; however, we have not yet understood braiding relations of \(q\) -conformal blocks representation theoretically. Instead, taking advantage of explicit expressions of \(q\) -Nekrasov functions, we directly prove contiguity relations of \(q\) -Nekrasov functions with special values by generalizing a method used in [1]}. Consequently, we solve the connection problem of \(q\) -conformal blocks with the degenerate field.
